Home / 1,649.37-2,474.52-919.47

Finding the Fourth Proportional to 1,649.37, 2,474.52 and 919.47

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Solution

The fourth proportional to 1,649.37, 2,474.52 and 919.47 is: 1,379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.37 : 2,474.52 = 919.47 : x
  2. Step 2: Convert to fraction form
    1,649.37/2,474.52 = 919.47/x
  3. Step 3: Cross multiply
    1,649.37x = 2,474.52 × 919.47
  4. Step 4: Simplify right side
    1,649.37x = 2,275,246.90
  5. Step 5: Solve for x
    x = 2,275,246.90/1,649.37
  6. Step 6: Final answer
    x = 1,379.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.